Relaxation dynamics of half-quantum vortices in a two-dimensional two-component Bose-Einstein condensate

TL;DR

This paper investigates how half-quantum vortices in a two-component Bose-Einstein condensate relax over time, revealing an initial interaction-dependent scaling regime that transitions to a universal behavior similar to scalar condensates.

Contribution

It demonstrates the temporal scaling behavior of vortex relaxation and identifies the transition from interaction-dependent to universal dynamics in two-component BECs.

Findings

Early-time scaling depends on inter-species interaction strength

Late-time scaling becomes universal, matching scalar BEC behavior

Vortex number and correlation lengths follow specific temporal power laws

Abstract

We study the relaxation dynamics of quantum turbulence in a two-component Bose-Einstein condensate containing half-quantum vortices. We find a temporal scaling regime for the number of vortices and the correlation lengths that at early times is strongly dependent on the relative strength of the inter-species interaction. At later times we find that the scaling becomes universal, independent of the inter-species interaction, and approaches that numerically observed in a scalar Bose-Einstein condensate.